What is the Least Common Multiple of 12554 and 12566?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 12554 and 12566 is 78876782.
LCM(12554,12566) = 78876782
Least Common Multiple of 12554 and 12566 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12554 and 12566, than apply into the LCM equation.
GCF(12554,12566) = 2
LCM(12554,12566) = ( 12554 × 12566) / 2
LCM(12554,12566) = 157753564 / 2
LCM(12554,12566) = 78876782
Least Common Multiple (LCM) of 12554 and 12566 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12554 and 12566. First we will calculate the prime factors of 12554 and 12566.
Prime Factorization of 12554
Prime factors of 12554 are 2, 6277. Prime factorization of 12554 in exponential form is:
12554 = 21 × 62771
Prime Factorization of 12566
Prime factors of 12566 are 2, 61, 103. Prime factorization of 12566 in exponential form is:
12566 = 21 × 611 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 12554 and 12566.
LCM(12554,12566) = 21 × 62771 × 611 × 1031
LCM(12554,12566) = 78876782
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